A direct relationship requires a change in the same direction of both variables, answer c.
Answer:
m = 18
Step-by-step explanation:
-2/3m = -12
multiply both sides of the equation by 3:
-2/3m(3) = -12(3)
simplify:
-2m = -36
divide both sides by -2:
-2m/-2 = -36/-2
simplify:
m = 18
Speed of Morris is 47.95 mph
Step-by-step explanation:
- Step 1: Convert 3 feet per second to miles per hour.
⇒ 3 ft/s = 3/1.467 mph (∵ 1 mph = 1.467 ft/s)
= 2.05 mph
- Step 2: Find the speed of Morris.
Speed of Morris = 50 mph - 2.05 mph = 47.95 mph
Answer:
D. (bottom right)
Step-by-step explanation:
If there is a line where y = x, that means that y and x can both equal 1, 2, 3, -1, -2, -3, etc. They are just always the same. This line, then, would pass through (just for example) (-4, -4) and (4, 4). If you reflect the pink figure across that line, you will get the blue figure. Hope this helps!
Step-by-step explanation:
1)The given equations are:
x − 2y = 6 ...(i)
3x − 6y = 0 ...(ii)
Putting x = 0 in equation (i) we get
=> 0 - 2y = 6
=> y = -3
x = 0, y = -3
Putting y = 0 in equation (i) we get
⇒x-2×0=6
⇒x=6
x = 6, y = 0
Use the following table to draw the graph
x 0 6
y -3 0
Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn
Graph of the equation ..(ii)
3x - 6y = 0 ...(ii)
Putting x = 0 in equation (ii) we get
⇒3×0-6y=0
=> y = 0
x = 0, y = 0
Putting x = 2 in equation (2) we get
⇒3×2-6y=0
=> y = 1
x = 2, y = 1
Use the following table to draw the graph.
x 0 2
y 0 1
Draw the graph by plotting the two points O(0,0) and D(2,1) from table
We see that the two lines are parallel, so they won’t intersect
Hence there is no solution
2)
